Geodesic
Approximation of general Pexider functional inequalities in fuzzy Banach spaces
Lu, Gang 1 ; Xin, Jincheng 1 ; Jin, Yuanfeng 2 ; Park, Choonkil 3
1 Department of Mathematics, School of Science, ShenYang University of Technology, Shenyang 110870, P. R. China
2 Department of Mathematics, Yanbian University, Yanji 133001, People's Republic of China
3 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 206-216.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we investigate a fuzzy version of a generalized Hyers-Ulam-Rassias type stability for the following Pexider functional inequalities
$ f(x+y)+f(x-y)+g(z)+h(l) \leq kp\left(\frac{2x+z+l}{k}\right) , $
$ f(x+y)+f(x-y) + g(z)+k h(l) \leq kp\left(\frac{ x+ z }{k}+l\right) , $
where $k$ are nonzero real scalars. In the fuzzy normed linear space setting is presented. In this condition, we give an alternative proof of this result in fuzzy Banach space.
DOI : 10.22436/jnsa.012.04.02
Classification : 39B62, 39B52, 46B25
Keywords: Fuzzy approximation, Pexider functional inequality, fuzzy Banach space

Lu, Gang  1 ; Xin, Jincheng  1 ; Jin, Yuanfeng  2 ; Park, Choonkil  3

1 Department of Mathematics, School of Science, ShenYang University of Technology, Shenyang 110870, P. R. China
2 Department of Mathematics, Yanbian University, Yanji 133001, People's Republic of China
3 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea 
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Lu, Gang ; Xin, Jincheng ; Jin, Yuanfeng ; Park, Choonkil . Approximation of  general Pexider functional inequalities in fuzzy Banach spaces. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 206-216. doi : 10.22436/jnsa.012.04.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.04.02/

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